Find the solution of the given initial value problem. π ty' + 2y sint, y = 1, t > 0 Y || =

Q: Use the 2 solutions Bernoulli's equation y' + -√√y=0 y x

A: The given differential equation y'+yx-y=0. We have to find the solution of the differential…

Q: Solve the general solution y" + y = xex sin 2x

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Q: particular solution

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Q: Solve y" – 4y' + 8y = e2" + sin 2x 3.

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Q: Find a particular solution to /" + 16y = 8 sin(4t).

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Q: x.y’ + y + 2y’ – xsinx = 2sinx solve the equation

A: Given that xy'+y+2y'-xsinx=2sinx The equation can be rewritten as, xdydx+y+2dydx-xsinx=2sinx So,…

Q: 1. Find a general solution of the first order equation: y'= 3x²y².

A: The given first order differential equation is solved by method of separation of variable.

Q: dy Solve sin -1 | = x +y dx,

A: Sin-1(dy/ dx) = x+y => dy/ dx = sin(x+y).

Q: 2. Solve the DE: 2y' - y= 4 sin( 3x)

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Q: Solve the DE y' = y sin x.

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Q: What is the general solution to y''+y=0. Show the solution.

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Q: Use variation of parameters to solve csc(t) y = et. sec(t).

A: Given: Let us consider the given y=12-121y+csctsectet and solve by using a variation of parameters.

Q: 3) Verify that y = sin(ln z) is a solution to a'y" + xy + y = 0.

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Q: Determine the solution by the method of undetermined coefficients. y''+4=cos(2x)

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